Search a number
-
+
23228101151199 = 347173896194869
BaseRepresentation
bin1010100100000001101101…
…01101111100100111011111
310001020120210022021212010000
411102000312231330213133
511021032122343314244
6121222501540545343
74615114000045350
oct522006655744737
9101216708255100
1023228101151199
117445a895a980a
1227319180b2253
13cc6528ca8309
145a43633d5d27
152a4339ae6169
hex152036b7c9df

23228101151199 has 80 divisors (see below), whose sum is σ = 42096371803200. Its totient is φ = 12460307936256.

The previous prime is 23228101151191. The next prime is 23228101151207. The reversal of 23228101151199 is 99115110182232.

23228101151199 is a `hidden beast` number, since 2 + 3 + 2 + 28 + 10 + 11 + 511 + 99 = 666.

It is an interprime number because it is at equal distance from previous prime (23228101151191) and next prime (23228101151207).

It is not a de Polignac number, because 23228101151199 - 23 = 23228101151191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23228101151191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 652137 + ... + 6847005.

It is an arithmetic number, because the mean of its divisors is an integer number (526204647540).

Almost surely, 223228101151199 is an apocalyptic number.

23228101151199 is a deficient number, since it is larger than the sum of its proper divisors (18868270652001).

23228101151199 is a wasteful number, since it uses less digits than its factorization.

23228101151199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195294 (or 6195285 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 23228101151199 in words is "twenty-three trillion, two hundred twenty-eight billion, one hundred one million, one hundred fifty-one thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 389 459 567 1071 1167 1377 2723 3213 3501 6613 8169 9639 10503 19839 24507 31509 46291 59517 73521 138873 178551 220563 416619 535653 1249857 3749571 6194869 18584607 43364083 55753821 105312773 130092249 167261463 315938319 390276747 501784389 737189411 947814957 1170830241 2211568233 2409804041 2843444871 3512490723 6634704699 7229412123 8530334613 16868628287 19904114097 21688236369 40966668697 50605884861 59712342291 65064709107 122900006091 151817654583 195194127321 286766680879 368700018273 455452963749 860300042637 1106100054819 1366358891247 2580900127911 3318300164457 7742700383733 23228101151199